Finding the Third Proportional to 84,144 and 181,404

Step by Step Solution

1. Step 1: Write the proportion equation
   84,144 : 181,404 = 181,404 : x
2. Step 2: Convert to fraction form
   84,144/181,404 = 181,404/x
3. Step 3: Cross multiply
   84,144x = 181,404 × 181,404
4. Step 4: Simplify right side
   84,144x = 32,907,411,216
5. Step 5: Solve for x
   x = 32,907,411,216/84,144
6. Step 6: Final answer
   x = 391,084.46